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A JB∗-triple is a Banach space A on which the group
Aut(B) of biholomorphic automorphisms acts transitively on the
open unit ball B of A. In this case, a triple product {· · · } from
A × A × A to A can be defined in a canonical way. If A is also
the dual of some Banach space A∗, then A is said to be a JBW∗-
triple. A projection R on A is said to be structural if the identity
{Ra, b, Rc} = R{a, Rb, c, } holds. On JBW∗-triples, structural
projections being algebraic objects by definition have also some
interesting metric properties, and it is possible to give a full characterization
of structural projections in terms of the norm of the
predual A∗ of A. It is shown, that the class of structural projections
on A coincides with the class of the adjoints of neutral GLprojections
on A∗. Furthermore, the class of GL-projections on A∗
is naturally ordered and is completely ortho-additive with respect
to L-orthogonality.
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참고문헌 (44)
참고문헌 신청
/ / A geometric characterizationof structural projections on the predual of a JBW-triple to appear in J. Funct.Anal.
/ / Order structure of GL-projections on the predual of a JBW-triple
/ 1960 / L-structure in L-spaces
/ 1973 / M-structure in dual Banach spaces
/ 1974. / Bounded symmetric domains in innite dimensional spaces. Proceedings on Innite Dimensional Holo-morphy Lecture Notes in Math.364 : 13 ~ 40
/ / Order structure of GL-projections on the predual of a JBW-triple
/ 1960 / L-structure in L-spaces
/ 1973 / M-structure in dual Banach spaces
/ 1974. / Bounded symmetric domains in innite dimensional spaces. Proceedings on Innite Dimensional Holo-morphy Lecture Notes in Math.364 : 13 ~ 40
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